16302
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 40320
- Proper Divisor Sum (Aliquot Sum)
- 24018
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4320
- Möbius Function
- -1
- Radical
- 16302
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 159
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); sequence gives values of n where |P(n)| sets a new record.at n=46A000092
- Eighth column of quadrinomial coefficients.at n=8A001919
- Series for second parallel moment of square lattice (eventually changes sign).at n=9A006733
- Number of partitions of n that do not contain 4 as a part.at n=39A027338
- Sum over all 2^(2n) pairs (u,v) of binary sequences of length n of length of maximal common subsequence between them.at n=6A027433
- Even elements in 3-Pascal triangle A028262 (by row).at n=53A028266
- Distinct even elements in 3-Pascal triangle A028262 (by row).at n=29A028269
- Central elements in 3-Pascal triangle A028262 (by row).at n=8A028270
- Expansion of 1/((1-x)^4*(1-x^2)^2).at n=20A028346
- Numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=56A029614
- Numbers to the right of the central elements of the (2,3)-Pascal triangle A029600 that are different from 3.at n=42A029615
- Table read by rows: list of even numbers to the right of the central elements of the (2,3)-Pascal triangle A029600.at n=27A029617
- Numbers to left of central elements of the (3,2)-Pascal triangle A029618 that are different from 3.at n=48A029629
- Even numbers to left of central elements of the (3,2)-Pascal triangle A029618.at n=30A029631
- Dimension of multiples of minimal representation of complex Lie algebra F4.at n=3A030647
- "DHK[ 7 ]" (bracelet, identity, unlabeled, 7 parts) transform of 1,1,1,1,...at n=17A032248
- Numbers whose base-5 representation has exactly 7 runs.at n=17A043607
- Limits of diagonals in triangle defined in A061260.at n=12A061261
- a(n) = C(n+1) + n*C(n) where C = A000108 (Catalan numbers).at n=8A077587
- Duplicate of A028270.at n=8A081497